The equation of the line that passes through the point (5,3) and has a slope of -4/5 is,
⇒ 4x + 5y = 35
Here,
The given point is (5, 3) and slope is -4/5.
We have to find the equation of the line that passes through the point (5,3) and has a slope of -4/5.
What is Equation of line?
The equation of the line that passes through the point (a, b) and has a slope of m is;
⇒y - a = m (x - b)
Now,
The given point is (5, 3) and slope is -4/5.
Hence, The equation of the line that passes through the point (5,3) and has a slope of -4/5 is;
y - 3 = -4/5 (x - 5)
5 (y - 3) = -4 (x - 5)
5y - 15 = -4x + 20
4x + 5y = 20 + 15
4x + 5y = 35
Therefore, The equation of the line that passes through the point (5,3) and has a slope of -4/5 is
⇒ 4x + 5y = 35.
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Simply the equation 3x+1=2x+5
Answer:4
Step-by-step explanation: 3x+1−2x=2x+5−2x
x + 1 = 5
x+1−1=5−1
x=4
Answer:
Simplifying
3x + -1 = 2x + 5
Reorder the terms:
-1 + 3x = 2x + 5
Reorder the terms:
-1 + 3x = 5 + 2x
Solving
-1 + 3x = 5 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-1 + 3x + -2x = 5 + 2x + -2x
Combine like terms: 3x + -2x = 1x
-1 + 1x = 5 + 2x + -2x
Combine like terms: 2x + -2x = 0
-1 + 1x = 5 + 0
-1 + 1x = 5
Add '1' to each side of the equation.
-1 + 1 + 1x = 5 + 1
Combine like terms: -1 + 1 = 0
0 + 1x = 5 + 1
1x = 5 + 1
Combine like terms: 5 + 1 = 6
1x = 6
Divide each side by '1'.
x = 6
Simplifying
x = 6
Answer is 6
I WILL GIBE BRAINLIST TO THE FURST PERSO WHO AN ANSWER PLZ HELP Is 38 over 53 in simplest form? Explain why or why not. If not, write it in simplest form.
Answer: its simplest form, because 53 is a prime number so is not divisible by anything other than itself and 1, and 38 is smaller than 53.
Answer:
It is already in simplest form
Step-by-step explanation:
38 and 53 cannot be further divided
What is the value of x? 2/3(x-6)=6
Answer: x=15
Step-by-step explanation: THIS IS THE CORRECT ANSWER
Which is the best estimate for the percent that is represented by the shaded portion of the diagram?
A grid model with 8 squares. 3 squares are shaded.
30%
36%
38%
40%
Find the 50th term of the following arithmetic sequence.
13, 22, 31, 40,
---
Answer:
454
Step-by-step explanation:
The formula for this arithmetic sequence is: 9n+4
1st term: 9(1)+4 = 13
2nd term: 9(2)+4 = 22
3rd term: 9(3)+4 = 31
4th term: 9(4)+4 = 40
.
.
.
50th term: 9(50)+4 = 450+4
= 454
|x + 8| = |2x + 1| Pls answer.....
Mrs. Alvarez paid $28.50 for a flower arrangement she ordered. She paid a fee of $10.50 for delivery and $1.50 per flower. Which equation can be used to find f, the number of flowers she had in the arrangement?
Answer:
1.5f + 10 = 28.5
Step-by-step explanation:
Answer:
12 i think
Step-by-step explanation:
28.50-10.50=18
18 divided by 1.50= 12
8 cm
15 cm
20 cm
What is the surface area of the cuboid?
Answer:
Step-by-step explanation:
remember that the surface area is
S=2lw+2lh+2hw
S=2(15*20)+2(15*8)+2(8*20)=600+240+320=1160 cm^2
The surface area of the cuboid is 1160 square cm whose dimensions are
l= 20cm, w= 8 cm and h = 15 cm.
Given:
Length = 20 cm
width = 8 cm
Height = 15 cm
So, the formula for Surface area of Cuboid is
= 2(lw+ wh + lh)
Substituting the values l= 20cm, w= 8 cm and h = 15 cm into the formula as
= 2(lw+ wh + lh)
= 2 (20 x 15 + 8 x 15 + 8 x 20)
= 2 (300 + 120 + 160)
= 2 (580)
= 1160 square cm
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Two rectangles are similar. The ratio of the length of rectangle A to the length of rectangle B is 1:4. If the length of rectangle B is 14 meters, what is the length of rectangle A?
Answer:
Hey have you tried on your own to make sure you understand it?
Step-by-step explanation:
karl filled up the tank of his truck with 400 liters of fuel and set out to deliver a shipment of bananas to alaska. the truck consumed 0.8 liters of fuel for each kilometer driven.
The graph of the relationship between the amount of fuel remaining in the trucks tank (in liters) and distance driven (in kilometers) is a linear equation given by, y = 400 - 0.8x
Given that Karl filled up the tank with 400 liters of fuel initially.
As time passes and more distance is covered, the amount of fuel will decrease. Thus the amount remaining is inversely proportional to the distance driven.
Let 'x' be the distance driven (in kilometers) by the truck and 'y' be the remaining fuel (in liters) in the tank.
It says that the truck consumes 0.8 liters of fuel for each kilometer driven.
Then the linear equation modelling this will be :
y = 400 - 0.8x
The graph can be drawn with values of 'x' on the x-axis and the values 'y' on the y-axis.
x y
1 399.2
2 398.4
3 397.6
4 396.8 and so on.
The question is incomplete. Find the complete question below:
Karl filled up the tank of his truck with 400 liters of fuel and set out to deliver a shipment of bananas to Alaska. The truck consumed 0.8 liters for each kilometer driven.
Graph the relationship between the amount of fuel remaining in the trucks tank (in liters) and distance driven (in kilometers).
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Any tv recommendations..........?
Answer:
I would recommend a Samsung TV but that is just what I think oh nvm a TV show um Big mouth on Netflix
Whats the answer marking brainliest:D
Anyone it is almost due help
Answer: I not super sure, but I think you are supposed to put the equations on each side of the table. Your end result should be 2x to the second -5x-3.
Step-by-step explanation:
Cora is building towers of two different sizes using prism- and pyramid-shaped blocks. The diagram shows the ratio of prisms and pyramids in each tower.The table shows the number of prisms and the number of total blocks that Cora will use on each of her towers.
Based on the ratio, complete the missing values in the table.
Tower Prisms Total blocks
A 16
B
35
PLEASE HELP ME
Here is the completed table:
Tower Prisms Total blocks
A 16 20
B 28 35
What are the number of blocks?
Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).
Ratio of prism shaped blocks to pyramid shaped blocks = number of prism shaped blocks : number of pyramid shaped blocks
4 : 1
Number of pyramid blocks when there are 16 prism shaped blocks : 16 / 4 = 4
Total number of blocks : 4 + 16 = 20 blocks
Number of prism blocks when there are 35 blocks : (ratio of prism blocks /sum of ratios) x total number of blocks
(4/5) x 35 = 28 blocks
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(NEED HELP)
You buy a cell phone for $95.The sales tax is 6.25%. How much do you pay in all?
Answer:
This is an percentage change question. By any chance if you have an maths textbook, look for units that contains the topic: Percentage Change
Step-by-step explanation:
$95 x 6.25% = 5.9375
So, 95 + 5.9375 = ($) 100.9375 (Answer)
Or ($) 100.1 (Rounded Answer) (1 decimal place)
Stay safe and Merry Christmas! :)
Express (x+7)^2 as a trinomial in standard form.
HELP!!!! WILL MARK BRAINLIEST!!!!
Answer:
Slope= average rate of change = rise over run
Step-by-step explanation:
Answer: A
I will give brainlist! I promise!
Answer:
Picture A: statement c is incorrect. It should be: The scale factor used was 0.4.
Picture B: statement B is incorrect. It should be: Line KL corresponds with line FG.
Second pic:
Amos was correct
Tash was correct
Both were correct
Step-by-step explanation:
What is (6×5-6) +56
Answer:
(6x5 -6) +56
(30-6) +56
24+56
80
Step-by-step explanation:
Find the equation of the line that passes through the given points. Write the equation in slope-intercept form.
(-2,-4) and (-4,-3)
Step-by-step explanation:
m=(y1-y)/(x1-x2)
m=(3-(-4))/(-4-(-2))
m=7/-2=-7/2
y=mx+c
y=-7/2x+c
5. Rochelle needs to pack a picture frame that measures 7 inches
on each side. Will it fit into a box that measures 7.52 inches on each
side? Explain.
Answer:
Yes
Step-by-step explanation:
7.52 inches is bigger than 7 inches
What is the equation of the line that is parallel to the
given line and passes through the point (12, -2)?
O y=-x + 10
O y=-x + 12
O y=-x-10
y = 2 x - 12
Answer:2,-12
Step-by-step explanation:
evaluate the expression when c=8 and d=7. d+4c
Answer:
Step-by-step explanation:
d + 4c just replace the d and c with numbers
c is 8 and d is 7
7+32=39
Can someone explain how to do this?
Answer:
Step-by-step explanation:
The two legs of an iscosles right triangle are equal. The sides opposite each 45 degree angle are equal.
6^2 + 6^2 = x^2
36 + 36 = x^2
x^2 = 72
sqrt(x^2) = sqrt(72)
x = 6√2
Translate (4, -4) to the right 3 units.
Then reflect the result over the y-axis.
What are the coordinates of the final point?
please help what’s the domain and range
Answer & Step-by-step explanation:
The domain is the x values and the range is the y values.
Domain:
Note the lowest x values the line includes. Although it starts at x=2, it curves back to x=1 and then curves past 1. Therefore:
[tex]domain:x\geq 1[/tex]
x is greater than or equal to 1.
Range:
Find the lowest y value that is included in the line. Since the line starts at y=-1 and only moves upward after then:
[tex]range:y\geq -1[/tex]
the y values are greater than or equal to -1.
:Done
What is one common misconception students have that prevent them from filing the FAFSA?
What would F^-1(-2) equal
Answer:
I hope this helps:)
Step-by-step explanation:
A certain game gives scores between 0 and 5.
Trinity played 6 times and her mean score was 4.5.
Jayden played 4 times. If both players have the same
sum of scores, what was Jayden’s mean score?
Answer:
The mean value of Jayden is 6.75 .
Step-by-step explanation:
Given that the formula for mean is (total sum of scores) ÷ (total number of times). So first, we have to find the total sum of scores that Trinity gets :
[tex] \frac{total \: scores}{6} = 4.5[/tex]
[tex]total \: scores = 4.5 \times 6[/tex]
[tex]total \: scores \: = 27[/tex]
Assuming that Jayden also gets the score of 27 and played only 4 times so we have to find the Jayden's mean value :
[tex]mean = \frac{27}{4} [/tex]
[tex] mean = 6.75[/tex]
Pwease help its just easy math
Answer:
its divided into sixths